52112000 has 64 divisors (see below), whose sum is σ = 129603240. Its totient is φ = 20838400.

The previous prime is 52111993. The next prime is 52112017. The reversal of 52112000 is 21125.

It can be written as a sum of positive squares in 4 ways, for example, as 25321024 + 26790976 = 5032^2 + 5176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14372 + ... + 17628.

Almost surely, 2^52112000 is an apocalyptic number.

52112000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64801620).

52112000 is an abundant number, since it is smaller than the sum of its proper divisors (77491240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52112000 is an equidigital number, since it uses as much as digits as its factorization.

52112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 52112000 is about 7218.8641765862. The cubic root of 52112000 is about 373.5188986792.

Adding to 52112000 its reverse (21125), we get a palindrome (52133125).

It can be divided in two parts, 521 and 12000, that added together give a palindrome (12521).

The spelling of 52112000 in words is "fifty-two million, one hundred twelve thousand".